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Towers and the First-Order Theories of Hyperbolic Groups
 
Vincent Guirardel University of Rennes, Rennes, France
Gilbert Levitt Université de Caen, Caen, France
Rizos Sklinos Chinese Academy of Sciences, Beijing, People’s Republic of China
Softcover ISBN:  978-1-4704-6910-8
Product Code:  MEMO/296/1477
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7814-8
Product Code:  MEMO/296/1477.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6910-8
eBook: ISBN:  978-1-4704-7814-8
Product Code:  MEMO/296/1477.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Towers and the First-Order Theories of Hyperbolic Groups
Vincent Guirardel University of Rennes, Rennes, France
Gilbert Levitt Université de Caen, Caen, France
Rizos Sklinos Chinese Academy of Sciences, Beijing, People’s Republic of China
Softcover ISBN:  978-1-4704-6910-8
Product Code:  MEMO/296/1477
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7814-8
Product Code:  MEMO/296/1477.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6910-8
eBook ISBN:  978-1-4704-7814-8
Product Code:  MEMO/296/1477.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2962024; 111 pp
    MSC: Primary 20; Secondary 03

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Overview of the paper
    • 3. Preliminaries
    • 4. Towers
    • 5. Some properties of towers
    • 6. Towers as an ordering: core and prototypes
    • 7. Elementary equivalence of torsion-free hyperbolic groups
    • 8. Elementary embeddings
    • 9. Partial elementary maps extend to the relative core
    • 10. Examples and counterexamples
    • 11. Minimal and maximal models
    • A. Appendix: Towers are limit groups
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2962024; 111 pp
MSC: Primary 20; Secondary 03

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Overview of the paper
  • 3. Preliminaries
  • 4. Towers
  • 5. Some properties of towers
  • 6. Towers as an ordering: core and prototypes
  • 7. Elementary equivalence of torsion-free hyperbolic groups
  • 8. Elementary embeddings
  • 9. Partial elementary maps extend to the relative core
  • 10. Examples and counterexamples
  • 11. Minimal and maximal models
  • A. Appendix: Towers are limit groups
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.